Subtracting Integers Color Worksheet | Math integers, Teaching ... - Free Printable

It looks like you've uploaded a worksheet titled "Subtracting Integers" that includes a series of integer subtraction problems and a large black-and-white geometric pattern (possibly a maze or puzzle) in the center. The goal is likely to solve the math problems and use the answers to determine which parts of the pattern are shaded or unshaded — perhaps as a coloring activity.

Let me help you solve each problem, explain the steps, and then interpret how the solutions might relate to the image.

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🔢 Step 1: Solve Each Integer Subtraction Problem

We'll go through each problem one by one.

#### Left Column:
1. 6 – (-2)
Subtracting a negative is the same as adding:
$ 6 + 2 = 8 $

2. 3 – (-4)
$ 3 + 4 = 7 $

3. 2 – (-8) + 4
First: $ 2 + 8 = 10 $, then $ 10 + 4 = 14 $

4. -5 – (-7) + 2
$ -5 + 7 = 2 $, then $ 2 + 2 = 4 $

5. -6 – (-6) + 9
$ -6 + 6 = 0 $, then $ 0 + 9 = 9 $

6. 14 – 3 – 11
$ 14 – 3 = 11 $, then $ 11 – 11 = 0 $

7. 4 – (-3) + 7
$ 4 + 3 = 7 $, then $ 7 + 7 = 14 $

8. 7 – 5 – (-2)
$ 7 – 5 = 2 $, then $ 2 + 2 = 4 $

9. 6 – 7 + 1
$ 6 – 7 = -1 $, then $ -1 + 1 = 0 $

10. -10 – (-1) – 9
$ -10 + 1 = -9 $, then $ -9 – 9 = -18 $

11. 6 – 12 + 3
$ 6 – 12 = -6 $, then $ -6 + 3 = -3 $

12. -11 – (-6) – 5
$ -11 + 6 = -5 $, then $ -5 – 5 = -10 $

13. -1 – (-2) + 1
$ -1 + 2 = 1 $, then $ 1 + 1 = 2 $

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#### Right Column:

14. -6 – (-15) + 9
$ -6 + 15 = 9 $, then $ 9 + 9 = 18 $

15. 8 – 5 + 3
$ 8 – 5 = 3 $, then $ 3 + 3 = 6 $

16. 4 – (-4) + 8
$ 4 + 4 = 8 $, then $ 8 + 8 = 16 $

17. 7 – 10 + 3
$ 7 – 10 = -3 $, then $ -3 + 3 = 0 $

18. 9 – (-3) + 12
$ 9 + 3 = 12 $, then $ 12 + 12 = 24 $

19. -5 – 3 + 8
$ -5 – 3 = -8 $, then $ -8 + 8 = 0 $

20. 1 – (-9) + 10
$ 1 + 9 = 10 $, then $ 10 + 10 = 20 $

21. -8 – (-13) + 5
$ -8 + 13 = 5 $, then $ 5 + 5 = 10 $

22. -6 – 5 – 11
$ -6 – 5 = -11 $, then $ -11 – 11 = -22 $

23. 1 – 11 + 12
$ 1 – 11 = -10 $, then $ -10 + 12 = 2 $

24. 10 – 14 + 4
$ 10 – 14 = -4 $, then $ -4 + 4 = 0 $

25. -3 – (-9) + 8
$ -3 + 9 = 6 $, then $ 6 + 8 = 14 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 8 |
| 2 | 7 |
| 3 | 14 |
| 4 | 4 |
| 5 | 9 |
| 6 | 0 |
| 7 | 14 |
| 8 | 4 |
| 9 | 0 |
| 10 | -18 |
| 11 | -3 |
| 12 | -10 |
| 13 | 2 |
| 14 | 18 |
| 15 | 6 |
| 16 | 16 |
| 17 | 0 |
| 18 | 24 |
| 19 | 0 |
| 20 | 20 |
| 21 | 10 |
| 22 | -22 |
| 23 | 2 |
| 24 | 0 |
| 25 | 14 |

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🧩 Now: What About the Pattern?

The central image is a black-and-white diamond-shaped grid made up of small squares, some filled in (black), others not (white). This appears to be a color-by-number or puzzle-based shading activity where:

- Each problem corresponds to a specific square or region.
- The answer determines whether a square should be shaded or left blank.
- Often, the rule is: If the answer is positive → shade; if negative → leave blank, or vice versa.
- Or, it could be based on odd/even, or magnitude.

But since you haven’t specified what the key is (e.g., “shade if answer > 0”), I can only speculate.

However, looking at the structure, this resembles a "magic square" or "hidden picture" puzzle where solving the problems reveals a pattern.

Alternatively, this may be a Maze or Path Puzzle where correct answers indicate valid paths.

But here’s a likely possibility:

> This is a "Color by Number" or "Shade the Squares" puzzle where:
> - Each small triangle or square in the grid corresponds to a problem.
> - You solve the problem and shade the corresponding cell if the answer matches a condition (e.g., positive, even, etc.).

Since many answers are positive, and some are zero/negative, and there's symmetry in the pattern, it's possible:

- Positive answers → Shade
- Negative or zero → Leave blank

Let’s test this idea:

From the list above:
- Positive answers: 8, 7, 14, 4, 9, 14, 4, 6, 16, 18, 24, 20, 10, 2, 14 → these would be shaded
- Zero: 0, 0, 0, 0, 0 → not shaded
- Negative: -18, -3, -10, -22 → not shaded

So most of the problems yield positive results, meaning most cells would be shaded.

Looking at the image, the central pattern has a symmetrical black design with white space forming a shape — possibly a diamond or star.

Given the complexity, this is likely a pre-made puzzle where the correct answers correspond to shaded regions.

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🎯 Conclusion & How to Use This

To complete the task:

1. Solve each problem (as we did).
2. Match each answer to its corresponding cell in the grid (based on numbering or position).
3. Apply the shading rule — for example:
- If answer > 0 → shade the cell
- If answer ≤ 0 → leave blank
4. After all cells are filled, a hidden image or pattern (like a shape or symbol) will emerge.

✔ Since your image shows a complex black-and-white pattern, and many answers are positive, the shading rule is likely: "Shade if answer is positive."

You can now:
- Check each problem’s answer.
- Mark the corresponding cell in the grid.
- Shade it if the answer is positive, leave it blank otherwise.

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🔍 Bonus Tip

Some problems have repeated answers:
- 0: Problems 6, 9, 17, 19, 24 → these stay white
- 4: Problems 4, 8 → both shaded
- 14: Problems 3, 7, 25 → all shaded
- 2: Problems 13, 23 → shaded

This repetition suggests symmetry in the design.

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✔ Final Answer Summary:

| Problem | Answer | Should Be Shaded? |
|--------|--------|-------------------|
| 1 | 8 | ✔ Yes |
| 2 | 7 | ✔ Yes |
| 3 | 14 | ✔ Yes |
| 4 | 4 | ✔ Yes |
| 5 | 9 | ✔ Yes |
| 6 | 0 | ✘ No |
| 7 | 14 | ✔ Yes |
| 8 | 4 | ✔ Yes |
| 9 | 0 | ✘ No |
| 10 | -18 | ✘ No |
| 11 | -3 | ✘ No |
| 12 | -10 | ✘ No |
| 13 | 2 | ✔ Yes |
| 14 | 18 | ✔ Yes |
| 15 | 6 | ✔ Yes |
| 16 | 16 | ✔ Yes |
| 17 | 0 | ✘ No |
| 18 | 24 | ✔ Yes |
| 19 | 0 | ✘ No |
| 20 | 20 | ✔ Yes |
| 21 | 10 | ✔ Yes |
| 22 | -22 | ✘ No |
| 23 | 2 | ✔ Yes |
| 24 | 0 | ✘ No |
| 25 | 14 | ✔ Yes |

👉 So 17 out of 25 problems result in positive answers, meaning those cells should be shaded.

Now, using this logic, you can fill in the grid and reveal the hidden design.

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Would you like me to generate a visual interpretation or guide you on how to match the problems to the grid positions? Let me know!